In 2004, there were an estimated 39 million HIV infections worldwide with an annual infection rate of 4.9 million.
(a) Solve the equation graphically and find the slopes intercept form of a line that approximates the cumulative number of HIV infections in millions during year x, where x = 2004.
(b) Estimate the number of HIV infections in 2010 and provide a narrative of your calculation to support your answer.
(c) Provide a graph.a)
Slope/Intercept form: y = mx + b
Let y = number of infections in millions
Let x = number of years after 2004
Equation of the line: y = 4.9x + 39b)
Calculate the value of x.
x = 2010 – 2004 = 6
Substitute x into the equation.
y = 4.9(6) + 39
y = 29.4 + 39
y = 68.4
Therefore there were an estimated 68.4 million HIV infections in 2010.c) ** Please see the attached file for the graph **




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